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Finding the Fourth Proportional to 227,953.62, 314,619.44 and 150,292.90

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Solution

The fourth proportional to 227,953.62, 314,619.44 and 150,292.90 is: 207,432.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,953.62 : 314,619.44 = 150,292.90 : x
  2. Step 2: Convert to fraction form
    227,953.62/314,619.44 = 150,292.90/x
  3. Step 3: Cross multiply
    227,953.62x = 314,619.44 × 150,292.90
  4. Step 4: Simplify right side
    227,953.62x = 47,285,068,033.98
  5. Step 5: Solve for x
    x = 47,285,068,033.98/227,953.62
  6. Step 6: Final answer
    x = 207,432.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.